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A Path Integral for the Chiral-Form Partition Function

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arxiv 2112.00040 v3 pith:RAT5HKY2 submitted 2021-11-30 hep-th

Enrico Andriolo , Neil Lambert , Tristan Orchard , Constantinos Papageorgakis This is my paper · ORCID
classification hep-th
keywords chiraldimensionsfunctionpartitionactionbosoncharacteristicschiral-form
verification ladder T0 review T1 audit T2 compute T3 formal
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Starting from the recent action proposed by Sen [1,2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Compactifying the Sen Action: Six Dimensions

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Compactification of the two-metric Sen action requires zero modes from both KK towers but preserves correct on-shell degrees of freedom without doubling.

  2. Type II RR string fields and exotic diffeomorphisms

    hep-th 2025-05 accept novelty 7.0 of 10

    The paper computes explicit gauge transformations and interactions for all Ramond-Ramond fields in type II string field theory, revealing diffeomorphisms that are not standard Lie derivatives.

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